Quincunx Productions   [kwing-kuhngks] Noun. An arrangement of five objects with one at each
corner of a square and one at the center. From L., lit. "five twelfths,"
from quinque "five" + uncia "ounce" or "twelfth part".
    Quincunx Productions
 
        Papers (Sci)      
 
 
  Some parts of this web site are private. If you know me and if I've given you a username and password, please login below for total access:  
   
  User Name:  
  Password:  
 
 
 
What is NMR?
 
NMR exploits the quantum mechanical intrinsic angular momentum and magnetic moment of certain nuclei to reveal information about the environments of the nuclei's parent atoms within complex molecules. Wikipedia explains it well.
 
The trick is to align the nuclear magnetic moments in a very strong and fixed magnetic field, to then perturb them with RF pulses and measure the RF emitted as the nuclear magnetic moments gracefully realign with the fixed field.
 
This gives the individual resonant frequencies of the different nuclei in the different atoms in a molecule and reveals information about each atom's disposition within the molecule and about proximities to and interactions with neighbouring atoms.
 
To do NMR you need an enormous superconducting magnet and a lot of liquid helium.
 
You also need a great deal of computing power and an arsenal of data processing techniques to analyse large multi-dimensional data sets.
 
18.8 Tesla NMR Spectrometer
An 18.8 Tesla NMR Magnet
 
 
 
An apparent paradox from NMR maths
 
I first wrote about this in 1995. In 2002, I put it on the web to see if anyone could resolve it. Six years later, still no resolution.
 
The apparent paradox arises in the calculation of the volume bounded by a two-dimensional function known as the Double Dispersion Lorentzian.
 
By symmmetry the volume should be zero. The positive volume under this surface being cancelled identically by the negative volume.
 
But using double integration, the actual calculation gives a surprising result.
 
View/Download PDF See Detailed Mathematical Treatment
  The 2D Double Dispersion Lorentzian Function
The 2D Double Dispersion Lorentzian
 
 
   © 2002-2010 Quincunx Productions Limited. All rights reserved.